Search a number
-
+
10131132 = 22311234771
BaseRepresentation
bin100110101001…
…011010111100
3201001201022010
4212221122330
510043144012
61001051220
7152053554
oct46513274
921051263
1010131132
11579a740
123486b10
13213946b
1414ba164
15d51c3c
hex9a96bc

10131132 has 96 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 2833600.

The previous prime is 10131131. The next prime is 10131139. The reversal of 10131132 is 23113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142657 + ... + 142727.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 210131132 is an apocalyptic number.

10131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

10131132 is an abundant number, since it is smaller than the sum of its proper divisors (17738052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131132 is a wasteful number, since it uses less digits than its factorization.

10131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10131132 is about 3182.9439203354. The cubic root of 10131132 is about 216.3811001861.

Adding to 10131132 its reverse (23113101), we get a palindrome (33244233).

It can be divided in two parts, 1013 and 1132, that added together give a triangular number (2145 = T65).

The spelling of 10131132 in words is "ten million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 47 66 69 71 92 94 132 138 141 142 188 213 253 276 282 284 426 506 517 564 759 781 852 1012 1034 1081 1518 1551 1562 1633 2068 2162 2343 3036 3102 3124 3243 3266 3337 4324 4686 4899 6204 6486 6532 6674 9372 9798 10011 11891 12972 13348 17963 19596 20022 23782 35673 35926 36707 40044 47564 53889 71346 71852 73414 76751 107778 110121 142692 146828 153502 215556 220242 230253 307004 440484 460506 844261 921012 1688522 2532783 3377044 5065566 10131132